Skip to main content
Log in

Cofinitely projective modules II

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. F. W.Anderson and K. R.Fuller, Rings and Categories of Modules. Graduate Texts in Math. Berlin-Heidelberg-New York 1974.

  2. H. Bass, Finitistic dimension and a homological generalization of semiprimary rings. Trans. Amer. Math. Soc.95, 466–488 (1960).

    Google Scholar 

  3. H.Cartan and S.Eilenberg, Homological Algebra. Princeton 1956.

  4. S. U. Chase, Direct product of modules. Trans. Amer. Math. Soc.97, 457–473 (1960).

    Google Scholar 

  5. J. H. Cozzens andJ. Johnson, Some applications of differential algebra to ring theory. Proc. Amer. Math. Soc. (2)31, 354–356 (1972).

    Google Scholar 

  6. C.Faith, Lectures on Injective Modules and Quotient Rings. LNM49, Berlin-Heidelberg-New York 1967.

  7. C.Faith, Algebra I: Rings, Modules and Categories. Berlin-Heidelberg-New York 1973.

  8. C.Faith, Algebra II: Ring Theory. Berlin-Heidelberg-New York 1976.

  9. L.Fuchs, Infinite Abelian Groups, Vol. I. New York-London 1970.

  10. A. W.Goldie, Rings with Maximum Condition. Yale University Lecture Notes, 1961.

  11. V. A. Hiremath, Finitely projective modules over a Dedekind domain. J. Austral. Math. Soc. (Series A)26, 330–336 (1978).

    Google Scholar 

  12. V. A. Hiremath, Cofinitely generated and cofinitely related modules. Acta Math. Acad. Sci. Hungar. (1–3)39, 1–9 (1982).

    Google Scholar 

  13. V. A. Hiremath, Cofinitely projective modules. Houston J. Math. (2)11, 183–190 (1985).

    Google Scholar 

  14. J. P. Jans, On co-noetherian rings. J. London Math. Soc. (2)1, 588–590 (1969).

    Google Scholar 

  15. B.Mitchell, Theory of Categories. New York-London 1965.

  16. K. M. Rangaswamy andN. Vanaja, A note on modules over regular rings. Bull. Austral. Math. Soc.4, 57–62 (1971).

    Google Scholar 

  17. A. Rosenberg andD. Zelinski, On the finiteness of the injective hull. Math. Z.70, 372–380 (1959).

    Google Scholar 

  18. S. Shelah, Infinite abelian groups. Whitehead problem and some constructions. Israel J. Math.18, 243–256 (1974).

    Google Scholar 

  19. P. Vamos, The dual of the notion of “finitely generated”. J. London Math. Soc.43, 643–646 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work is based on the author's doctoral dissertation and was supported by the University Grants Commission and Madurai Kamaraj University.

The author thanks Professor K. M. Rangaswamy for suggesting the problem, for encourgement and for useful discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hiremath, V.A. Cofinitely projective modules II. Arch. Math 48, 53–57 (1987). https://doi.org/10.1007/BF01196354

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01196354

Keywords

Navigation